Finding the Third Proportional to 10,936.50 and 16,966.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,936.50 : 16,966.88 = 16,966.88 : x
2. Step 2: Convert to fraction form
   10,936.50/16,966.88 = 16,966.88/x
3. Step 3: Cross multiply
   10,936.50x = 16,966.88 × 16,966.88
4. Step 4: Simplify right side
   10,936.50x = 287,874,847.27
5. Step 5: Solve for x
   x = 287,874,847.27/10,936.50
6. Step 6: Final answer
   x = 26,322.39